Question

What are the slope and the y-intercept of Brenda's graph?

Answer 1

To find the slope-intercept form, we observe that the line is intercepting the y-axis at 7.

Now, we use the slope formula.

`m=(y_2-y_1)/(x_2-x_1)`

Let's replace the points (3,6) and (6,5).

`m=(5-6)/(6-3)=(-1)/(3)=-(1)/(3)`

We use the slope-intercept formula to replace the slope and the y-intercept.

`\begin{gathered} y=mx+b \\ y=-(1)/(3)x+7 \end{gathered}`

Hence, the equation is